Find the direction cosines of the perpendicular from the origin to the plane

Question

Philoid · Accepted Answer

Given :

Equation of plane :

To Find :

Direction cosines of the normal i.e.

Formulae :

1) Direction cosines :

If a, b & c are direction ratios of the vector then its direction cosines are given by

Answer :

For the given equation of plane

Equation of normal vector is

= 7

Therefore, direction cosines are